Holographic Phase Transition of AdS Black Hole Solution Coupled with Nonlinear Electrodynamics

This study presents a novel AdS black hole (BH) solution coupled with NLED and a cloud of string. Our solution interpolates to the AdS Letailier BH in the absence of magnetic monopole charge (q) and deviation parameter (k), AdS Hayward Letailier BH when in the absence of deviation parameter, AdS regular Letailier BH in the absence of magnetic monopole charge, as well as Schwarzschild BH in the limit of q = ۰, k = ۰, a = ۰. We have studied the horizon structure of the obtained solution; the BH has two horizons (event and Cauchy) in contrast with the Schwarzschild BH. The thermodynamic quantities associated with the BH are modified in the presence of magnetic monopole charge, cloud of string parameter, and a deviation parameter. The first law of BH thermodynamics is modified in the presence of magnetic monopole charge and deviation parameter. Additionally, we examine the thermodynamics of the AdS Letailier regular BH solution, considering the cosmological constant (\Lambda) as thermodynamic pressure (P), and analyze the critical points and phase structure of the BH within an extended phase space.  The plot of Gibbs free energy against temperature exhibits a swallow-tail behaviour, signifying a first-order phase transition that concludes at a second-order phase transition.

کلیدواژه ها:

black hole ، Thermodynamics ، Holographic Phase Transition